২২০০১
You cycled eastwards 6 Kilometers , them turning right you cycled 5 km. You turned right again and cycled 6 km. How far were you then from the starting point?
উত্তর
5 Km
সমাধান
If you notice, it ends up with a rectangular shape. Here, AB = CD and BC = AD = 5 km.
২২০০২
"If birds are singing it must be spring." The statement can be true for which of the following statement.
উত্তর
Birds sing only in spring
সমাধান
if birds are singing it must be spring অর্থাৎ পাখিরা গান গাইলে অবশ্যই তখন বসন্তকাল হবে। বাক্যটির Alternative sentence হবে Birds sing only in spring
২২০০৩
Increasing the original price of an item by 15 percent and then increasing the new price by another 15 percent is equivalent to increasing the original price by
উত্তর
32.25%
সমাধান
Let the original price be P.
Now, the new price after increasing the original price by 15% = 1.15P
The final price after increasing the new price by another 15% = 1.15x1.15P = 1.3225P.
So, actual increament in the original price = {1.322P - P) / P} x 100 = 32.25%
[Shortcut: + 15 + 15 + (15x15)/100 = 32.25%]
২২০০৪
If a number is divisible by 102, then is also divisible by:
উত্তর
2
সমাধান
If a number is divisible by 102 then it must be divisible by all of the factors of 102. The only choice that is a factor of 102 is 2.Positive factors of 102 are 1, 2, 3, 6, 17, 34, 51, and 102.
২২০০৫
A hawker takes 1.25 hours to deliver newspapers on his route. Another hawker takes 15 minutes longer to deliver these papers on the same route. How long would it take to deliver the papers if both of them worked together?
উত্তর
40 min
সমাধান
First hawker takes 1.25 hours or 75 minutes and second hawker takes 75 + 15 = 90 minutes.
Together they can finish (1/75 + 1/90) = 11/450 part of the delivery in 1 minute.
So, together they will finish the whole delivery in 1/(11/450) = 450/11 = 40.91 minutes.
২২০০৬
If the following series continues to follow the same pattern , what will be the next number: 2, 6, 3, 9, 6.............?
উত্তর
14
সমাধান
in each pair, 2nd number is three times of 1st number,
so blank number = 6×3 = 18
২২০০৭
শূন্যস্থানে কোন সংখ্যাটি বসবে? ২১২ ১৭৯ ১৪৬ ১১৩ -------
উত্তর
80
সমাধান
২১২ - ৩৩ = ১৭৯
১৭৯ - ৩৩ = ১৪৬
১৪৬ - ৩৩ = ১১৩
১১৩ - ৩৩ = ৮০
২২০০৮
Lines joining points (-4, 0), (0, 5) and (4, 0) will form
উত্তর
an isosceles triangle
সমাধান
Let the points be A( - 4, 0), B(0, 5) and C(4, 0).
Now, AB = √{( - 4 - 0)2 + (0 - 5)2} = √41
BC = √{(0 - 4)2 + (5 - 0)2} = √41
CA = √{(4 + 4)2 + (0 - 0)2} = 8
Here, AB = BC. So, the triangle will be an isosceles triangle.
২২০০৯
You can now buy 5 more Mangoes with TK. 75 due to the reduction in price by 20 percent Calculate the current price of one dozen of Mangoes.
উত্তর
36
সমাধান
Let
Previous price of a mango was tk x
So, current price of a mango is x(80%) or tk 4x/5
ATO,
75/(4x/5) = 75/x + 5
= > 20x + 300 = 375
= > x = 15/4
So, the current price of dozen of mango is 12 x 4/5 x 15/4 or tk 36.
২২০১০
What is 35% of a number if 12 is 15%?
উত্তর
28
সমাধান
15% ≡ 12
So, 35% ≡ 12 x 35 / 15 = 28